Which is false?
(a) In a || gm, the diagonals are equal.
(b) In a || gm, the diagonals bisect each other.
(c) If a pair of opposite sides of a quadrilateral are equal, then it is a || gm.
(d) If the diagonals of a || gm are perpendicular to each other, then it is a rhombus.

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Solution

(a) In a || gm, the diagonals are equal.

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Q. The converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other" is :

Q. Which of the following quadrilateral is not a rhombus?

(a) All four sides are equal

(b) Diagonals bisect each other

(c) Diagonals bisect opposite angles

(d) One angle between the diagonals is 60°

Which of the following statements are true (T) and which are false (F) ?

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals bisect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram

(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rhombus, if

(a) ABCD is a parallelogram

(b) ABCD is a rhombus

(d) diagonals of ABCD are perpendicular to each other

Which of the given statements is incorrect

1.Diagonals of the parallelogram bisect each other.
2.If the Diagonals of a quadrilateral bisect each other,it is a parallelogram.
3.Diagonals of a parallelogram are equal.
4.Diagonals of the parallelogram are perpendicular to each other

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Which is false? (a) In a || gm, the diagonals are equal. (b) In a || gm, the diagonals bisect each other. (c) If a pair of opposite sides of a quadrilateral are equal, then it is a || gm. (d) If the diagonals of a || gm are perpendicular to each other, then it is a rhombus.

(a) In a || gm, the diagonals are equal.

Which is false?
(a) In a || gm, the diagonals are equal.
(b) In a || gm, the diagonals bisect each other.
(c) If a pair of opposite sides of a quadrilateral are equal, then it is a || gm.
(d) If the diagonals of a || gm are perpendicular to each other, then it is a rhombus.